Prime numbers: a computational perspective

Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. Yet, some of the simplest questions about primes have stumped humankind for millennia. In this book, the authors concentrate on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. Over 100 explicit algorithms cast in detailed pseudocode are included in the book. Applications and theoretical digressions serve to illuminate, justify, and underscore the practical power of these algorithms. The 2nd edition adds new material on primality and algorithms and updates all the numerical records, such as the largest prime, etc. It has been revised throughout.From the reviews of the first edition:"The exercises are a gold mine of interesting examples, pointers to the literature and potential research projects. Prime Numbers is a welcome addition to the literature of number theorycomprehensive, up-to-date and written with style. It will be useful to anyone interested in algorithms dealing with the arithmetic of the integers and related computational issues. American Scientist"Destined to become a definitive textbook conveying the most modern computational ideas about prime numbers and factoring, this book will stand as an excellent reference for this kind of computation, and thus be of interest to both educators and researchers. It is also a timely book, since primes and factoring have reached a certain vogue, partly because of cryptography. " LEnseignement Mathématique"The book is an excellent resource for anyone who wants to understand these algorithms, learn how to implement them, and make them go fast. It's also a lot of fun to read! It's rare to say this of a math book, but open Prime Numbers to a random page and it's hard to put down. Crandall and Pomerance have written a terrific book. Bulletin of the AMS"

The page order in this file seems to be messed up. Do not download it!

18 August 2013 (01:34)

Scientifica

@dimitris if you simply mean that there's a translation in term of numbering of pages (page 1 of the pdf is the cover page instead of page 1 of the book) then that's not a big deal. The other 3 versions of this book in this site have the same numbering. But if you mean something else then waw what a lie!

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.